The Grunsky Norm and Some Coefficient Estimates for Bounded Functions |
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| Authors: | Grinshpan A Z; Pommerenke CH |
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| Institution: | Department of Mathematics, University of South Florida Tampa, FL 33620, USA
Sekr. MA 8-2, Technische Universität D-10623 Berlin, Germany |
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| Abstract: | We estimate the growth order in n of the Taylor coefficientsof bounded univalent functions in the unit disk. Our estimatedepends on the norm of the Grunsky operator. In particular,we improve the known results for coefficients of quasiconformallyextendible univalent functions. 1991 Mathematics Subject Classification30C50, 30C75, 30C55. |
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